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Description
  • In this paper two models of two transportation problems over the max-plus algebra are analysed. First problem deals with coordination of strongly dependent light crossroads. Second problem focuses on computing bus line timetables and on synchronization of departures from some interchange stops at bus transportation network. The behaviour of this discrete-event dy- namic systems can be modeled as linear systems in max-plus algebra with operations max and plus. We show how it is possible to use eigenvalues and eigenvectors of matrix for computing practical characteristics of these road transport systems. Some results of computation experiments using open source software ScicosLab with real data of Czech town Protejov instances of problems are presented.
  • In this paper two models of two transportation problems over the max-plus algebra are analysed. First problem deals with coordination of strongly dependent light crossroads. Second problem focuses on computing bus line timetables and on synchronization of departures from some interchange stops at bus transportation network. The behaviour of this discrete-event dy- namic systems can be modeled as linear systems in max-plus algebra with operations max and plus. We show how it is possible to use eigenvalues and eigenvectors of matrix for computing practical characteristics of these road transport systems. Some results of computation experiments using open source software ScicosLab with real data of Czech town Protejov instances of problems are presented. (en)
Title
  • Max-plus Algebra at Road Transportation
  • Max-plus Algebra at Road Transportation (en)
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  • Max-plus Algebra at Road Transportation
  • Max-plus Algebra at Road Transportation (en)
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  • RIV/61989100:27230/12:86083492!RIV13-MSM-27230___
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  • 148799
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  • RIV/61989100:27230/12:86083492
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  • max-plus algebra, eigenproblems, discrete-event dynamic systems, light crossroads, bus line timetables (en)
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  • [C97CCB6CAEC0]
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  • Karviná
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  • Proceedings of 30th International Conference Mathematical Methods in Economics : 11-13 September 2012, Karviná, Czech Republic
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  • Turek, Richard
  • Turek, Michal
  • Peško, Štefan
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  • Slezská univerzita v Opavě
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  • 978-80-7248-779-0
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  • 27230
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